Hyers-Ulam Stability of Jensen Functional Inequality in p-Banach Spaces
We prove the Hyers-Ulam stability of the following Jensen functional inequality ∥f((x-y)/n+z)+f((y-z)/n+x)+f((z-x)/n+y)∥≤∥f((x+y+z)∥ in p-Banach spaces for any fixed nonzero integer n.
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Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/270954 |
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doaj-f4bfaa86bc2b42ea84ff0bdb92b4aef52020-11-24T22:12:46ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/270954270954Hyers-Ulam Stability of Jensen Functional Inequality in p-Banach SpacesHark-Mahn Kim0Kil-Woung Jun1Eunyoung Son2Department of Mathematics, Chungnam National University, 79 Daehangno, Yuseong-gu, Daejeon 305-764, Republic of KoreaDepartment of Mathematics, Chungnam National University, 79 Daehangno, Yuseong-gu, Daejeon 305-764, Republic of KoreaDepartment of Mathematics, Chungnam National University, 79 Daehangno, Yuseong-gu, Daejeon 305-764, Republic of KoreaWe prove the Hyers-Ulam stability of the following Jensen functional inequality ∥f((x-y)/n+z)+f((y-z)/n+x)+f((z-x)/n+y)∥≤∥f((x+y+z)∥ in p-Banach spaces for any fixed nonzero integer n.http://dx.doi.org/10.1155/2012/270954 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hark-Mahn Kim Kil-Woung Jun Eunyoung Son |
| spellingShingle |
Hark-Mahn Kim Kil-Woung Jun Eunyoung Son Hyers-Ulam Stability of Jensen Functional Inequality in p-Banach Spaces Abstract and Applied Analysis |
| author_facet |
Hark-Mahn Kim Kil-Woung Jun Eunyoung Son |
| author_sort |
Hark-Mahn Kim |
| title |
Hyers-Ulam Stability of Jensen Functional Inequality in p-Banach Spaces |
| title_short |
Hyers-Ulam Stability of Jensen Functional Inequality in p-Banach Spaces |
| title_full |
Hyers-Ulam Stability of Jensen Functional Inequality in p-Banach Spaces |
| title_fullStr |
Hyers-Ulam Stability of Jensen Functional Inequality in p-Banach Spaces |
| title_full_unstemmed |
Hyers-Ulam Stability of Jensen Functional Inequality in p-Banach Spaces |
| title_sort |
hyers-ulam stability of jensen functional inequality in p-banach spaces |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2012-01-01 |
| description |
We prove the Hyers-Ulam stability of the following Jensen functional inequality ∥f((x-y)/n+z)+f((y-z)/n+x)+f((z-x)/n+y)∥≤∥f((x+y+z)∥ in p-Banach spaces for any fixed nonzero integer n. |
| url |
http://dx.doi.org/10.1155/2012/270954 |
| work_keys_str_mv |
AT harkmahnkim hyersulamstabilityofjensenfunctionalinequalityinpbanachspaces AT kilwoungjun hyersulamstabilityofjensenfunctionalinequalityinpbanachspaces AT eunyoungson hyersulamstabilityofjensenfunctionalinequalityinpbanachspaces |
| _version_ |
1725802477437059072 |